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Finding the Fourth Proportional to 262,429.20, 393,643.80 and 209,941.20

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Solution

The fourth proportional to 262,429.20, 393,643.80 and 209,941.20 is: 314,911.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,429.20 : 393,643.80 = 209,941.20 : x
  2. Step 2: Convert to fraction form
    262,429.20/393,643.80 = 209,941.20/x
  3. Step 3: Cross multiply
    262,429.20x = 393,643.80 × 209,941.20
  4. Step 4: Simplify right side
    262,429.20x = 82,642,051,744.56
  5. Step 5: Solve for x
    x = 82,642,051,744.56/262,429.20
  6. Step 6: Final answer
    x = 314,911.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.